| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 18801 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.793 |
|
| 18802 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+3 y^{\prime } x +\frac {5 y}{4}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
5.793 |
|
| 18803 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-4 y^{\prime } x -6 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.797 |
|
| 18804 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.798 |
|
| 18805 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.799 |
|
| 18806 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+2 y^{\prime } x +4 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.803 |
|
| 18807 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.803 |
|
| 18808 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -3 y+y^{\prime } x +2 x^{2} y^{\prime \prime }&=0\\ y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.803 |
|
| 18809 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+8 y^{\prime } x +17 y&=0\\ y \left (1\right )&=2\\ y^{\prime }\left (1\right )&=-3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.804 |
|
| 18810 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=0\\ y \left (-1\right )&=2\\ y^{\prime }\left (-1\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.805 |
|
| 18811 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+3 y^{\prime } x +5 y&=0\\ y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.805 |
|
| 18812 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.805 |
|
| 18813 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.809 |
|
| 18814 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} m y^{\prime \prime }+k y&=0\\ y \left (0\right )&=a\\ y^{\prime }\left (0\right )&=b\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.809 |
|
| 18815 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }-3 y&=3 \,{\mathrm e}^{2 t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.811 |
|
| 18816 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+5 y&=3 \sin \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.813 |
|
| 18817 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }-3 y&=-3 t \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.814 |
|
| 18818 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }&=3+4 \sin \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.814 |
|
| 18819 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+9 y&=t^{2} {\mathrm e}^{3 t}+6 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.815 |
|
| 18820 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+y&=2 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.816 |
|
| 18821 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }+4 y&=2 \,{\mathrm e}^{t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.816 |
|
| 18822 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }-2 y&=2 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.820 |
|
| 18823 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.821 |
|
| 18824 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.823 |
|
| 18825 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime }+3 y^{\prime }+y&=t^{2}+3 \sin \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.823 |
|
| 18826 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=3 \sin \left (2 t \right )+t \cos \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.824 |
|
| 18827 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} u^{\prime \prime }+w_{0}^{2} u&=\cos \left (w t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.830 |
|
| 18828 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }+4 y&=2 \sinh \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.831 |
|
| 18829 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }-2 y&=\cosh \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.831 |
|
| 18830 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }-2 y&=2 t\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.831 |
|
| 18831 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=t^{2}+3 \,{\mathrm e}^{t}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.832 |
|
| 18832 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+y&={\mathrm e}^{t} t +4\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.833 |
|
| 18833 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }-3 y&=3 \,{\mathrm e}^{2 t} t\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.835 |
|
| 18834 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=3 \sin \left (2 t \right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.837 |
|
| 18835 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+5 y&=4 \,{\mathrm e}^{-t} \cos \left (2 t \right )\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.837 |
|
| 18836 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }&=2 t^{4}+t^{2} {\mathrm e}^{-3 t}+\sin \left (3 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.838 |
|
| 18837 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=t \left (1+\sin \left (t \right )\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.839 |
|
| 18838 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }+6 y&={\mathrm e}^{t} \cos \left (2 t \right )+{\mathrm e}^{2 t} \left (3 t +4\right ) \sin \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.839 |
|
| 18839 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+2 y&=3 \,{\mathrm e}^{-t}+2 \,{\mathrm e}^{-t} \cos \left (t \right )+4 \,{\mathrm e}^{-t} t^{2} \sin \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.840 |
|
| 18840 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=2 t^{2}+4 \,{\mathrm e}^{2 t} t +t \sin \left (2 t \right ) \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
5.842 |
|
| 18841 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=t^{2} \sin \left (2 t \right )+\left (6 t +7\right ) \cos \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.842 |
|
| 18842 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{t} \left (t^{2}+1\right ) \sin \left (2 t \right )+3 \,{\mathrm e}^{-t} \cos \left (t \right )+4 \,{\mathrm e}^{t} \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
5.843 |
|
| 18843 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-3 y^{\prime }-4 y&=2 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.845 |
|
| 18844 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=\ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.846 |
|
| 18845 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+7 y^{\prime } x +5 y&=x \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
5.847 |
|
| 18846 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=3 x^{2}+2 \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.847 |
|
| 18847 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +4 y&=\sin \left (\ln \left (x \right )\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.847 |
|
| 18848 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\left \{\begin {array}{cc} t & 0\le t \le \pi \\ \pi \,{\mathrm e}^{\pi -t} & \pi <t \end {array}\right .\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.849 |
|
| 18849 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+5 y&=\left \{\begin {array}{cc} 1 & 0\le t \le \frac {\pi }{2} \\ 0 & \frac {\pi }{2}<t \end {array}\right .\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.849 |
|
| 18850 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\left \{\begin {array}{cc} A t & 0\le t \le \pi \\ A \left (2 \pi -t \right ) & \pi <t \le 2 \pi \\ 0 & 2 \pi <t \end {array}\right .\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.849 |
|
| 18851 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y&=2 \cos \left (w t \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.850 |
|
| 18852 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=2 \cos \left (w t \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.851 |
|
| 18853 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=3 \cos \left (w t \right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.852 |
|
| 18854 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (\frac {t}{4}\right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.854 |
|
| 18855 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (2 t \right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.854 |
|
| 18856 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (6 t \right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.854 |
|
| 18857 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y+\frac {y^{3}}{5}&=\cos \left (w t \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.854 |
|
| 18858 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{5}+y+\frac {y^{3}}{5}&=\cos \left (w t \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.855 |
|
| 18859 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }+6 y&=2 \,{\mathrm e}^{t} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
5.857 |
|
| 18860 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }-2 y&=2 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.857 |
|
| 18861 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.860 |
|
| 18862 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime }-4 y^{\prime }+y&=16 \,{\mathrm e}^{\frac {t}{2}} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
5.863 |
|
| 18863 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\tan \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.866 |
|
| 18864 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=3 \sec \left (2 t \right )^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.867 |
|
| 18865 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 t}}{t^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.868 |
|
| 18866 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=2 \csc \left (\frac {t}{2}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.871 |
|
| 18867 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime }+y&=2 \sec \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.873 |
|
| 18868 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+y&=\frac {{\mathrm e}^{t}}{t^{2}+1} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.874 |
|
| 18869 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }+6 y&=g \left (t \right ) \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
5.875 |
|
| 18870 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=g \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.876 |
|
| 18871 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y&=2 t^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.877 |
|
| 18872 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t y^{\prime \prime }-\left (1+t \right ) y^{\prime }+y&={\mathrm e}^{2 t} t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.880 |
|
| 18873 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-t \right ) y^{\prime \prime }+y^{\prime } t -y&=2 \left (t -1\right )^{2} {\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.882 |
|
| 18874 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=3 x^{{3}/{2}} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.884 |
|
| 18875 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-x \right ) y^{\prime \prime }+y^{\prime } x -y&=g \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.885 |
|
| 18876 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=g \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.889 |
|
| 18877 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} y^{\prime \prime }-2 y&=3 t^{2}-1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.892 |
|
| 18878 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=x^{2} \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.893 |
|
| 18879 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} y^{\prime \prime }-2 y^{\prime } t +2 y&=4 t^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
5.898 |
|
| 18880 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} y^{\prime \prime }+7 y^{\prime } t +5 y&=t \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.898 |
|
| 18881 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=g \left (t \right )\\ y \left (0\right )&=y_{0}\\ y^{\prime }\left (0\right )&=y_{1}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.898 |
|
| 18882 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t y^{\prime \prime }-\left (1+t \right ) y^{\prime }+y&={\mathrm e}^{2 t} t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
5.900 |
|
| 18883 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-t \right ) y^{\prime \prime }+y^{\prime } t -y&=2 \left (t -1\right )^{2} {\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
5.902 |
|
| 18884 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }-2 y&=0\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
5.908 |
|
| 18885 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 9 y^{\prime \prime }+12 y^{\prime }+4 y&=0\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=-1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.912 |
|
| 18886 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }+2 y&=0\\ y \left (0\right )&=3\\ y^{\prime }\left (0\right )&=-1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.914 |
|
| 18887 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 y^{\prime \prime }+5 y^{\prime }+y&=0\\ y \left (0\right )&=4\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.914 |
|
| 18888 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+2 y&=t^{2} {\mathrm e}^{t}+7\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.914 |
|
| 18889 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }-6 y&=t^{2}+7\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
5.921 |
|
| 18890 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=3 \,{\mathrm e}^{-2 t} \sin \left (2 t \right )\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=-1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.921 |
|
| 18891 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+5 y&=t \cos \left (2 t \right )\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.923 |
|
| 18892 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y&=0\\ y \left (0\right )&=4\\ y^{\prime }\left (0\right )&=0\\ y^{\prime \prime }\left (0\right )&=-2\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.925 |
|
| 18893 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-6 y&=t \,{\mathrm e}^{-t}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ y^{\prime \prime }\left (0\right )&=0\\ y^{\prime \prime \prime }\left (0\right )&=9\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.928 |
|
| 18894 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+16 y&=\left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .\\ y \left (0\right )&=9\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
5.928 |
|
| 18895 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\left \{\begin {array}{cc} t & 0\le t <1 \\ 0 & 1\le t \end {array}\right .\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.931 |
|
| 18896 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+4 y&=\left \{\begin {array}{cc} t & 0\le t <1 \\ 1 & 1\le t \end {array}\right .\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✗ |
✓ |
✓ |
✗ |
5.935 |
|
| 18897 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }-12 y&=0\\ y \left (0\right )&=8\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.937 |
|
| 18898 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }+2 y&=t\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✗ |
✗ |
✗ |
✗ |
5.940 |
|
| 18899 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-8 y^{\prime }+25 y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=3\\ \end {array} \]
Using Laplace transform method. |
✗ |
✓ |
✗ |
✗ |
5.943 |
|
| 18900 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
5.944 |
|